Harald Garcke

Phase field models for diffusional phase transformations in multi-component alloys

Abstract: In this talk a general thermodynamically consistent phase-field model for systems with arbitrary phase diagrams will be presented. The model will be related to classical sharp interface models by formally matched asymptotic expansions and some results concerning the mathematical analysis of the parabolic system will be mentioned.

With the help of numerical simulations I will then illustrate the capability of the phase-field model to recover a variety of complex experimental growth structures. The model is used to simulate the microstructural evolution in eutectic, peritectic and monotectic alloys with two and more components. In particular, pattern formation in eutectic growth will be studied in two and three dimensions and we will compare our results to the Jackson and Hunt theory and discuss some extensions of this theory.

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